Yuichi Fujimura Hirofumi Sakai Electronic an Nuclear Dynamic Molecular Systems World Scientific Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. ELECTRONIC AND NUCLEAR DYNAMICS IN MOLECULAR SYSTEMS Copyright © 2011 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. ISBN-13 978-981-283-722-6 ISBN-10 981-283-722-1 Typeset by Stallion Press Email: [email protected] Printed in Singapore. Sanjeed - Electronic and Nuclear Dynamics.pmd1 5/18/2011, 10:12 AM April7,2011 16:3 9.75inx6.5in b1101-fm ElectronicandNuclearDynamicsinMolecularSystems Preface Electronic and nuclear dynamics in molecular systems play a fundamental role in natural science and material science. The research targets are both physical and chemical phenomena occurring in simple diatomic molecules to complex biomolecularsystems.Inthismonograph,wefocusespeciallyonquantumdynamic behaviorsofmolecularsystemsinwhichelectronicand/ornuclearmotionsdriven by laser pulses are treated quantum mechanically. In the 1980’s to 2000, nuclear quantumdynamicsinmoleculeswasextensivelyinvestigatedbymanyresearchers includingtheNobelPrizewinnerAhmedZewail,thepioneeroffemtosecondchem- istry. One of the greatest achievements in nuclear quantum dynamics is real-time observationoftransitionstatesinthecourseofchemicalreactions.Thiswasmade possible by the use of ultra-short pulses in femtosecond time regimes and their detection system.This is now called “femtosecond chemistry”. In the first decade of the twenty-first century, there have been further developments in laser science and technology: pulse-shaping technique, control of carrier-envelope phase and attosecondpulsegeneration.Thesedevelopmentshavemadeitpossibletodirectly observeandcontrolmotionsofelectronsinmolecules,althoughthemoleculesare restrictedtosimplemoleculesatthepresenttime.Theresultshaveprovidedfunda- mentalideasforrealizationoffunctionaldevicessuchasultrafastswitchingdevices andquantumcomputers.Therefore,itistimelytooverviewrecentdevelopmentsin electronic and nuclear quantum dynamics of molecular systems from both experi- mentalandtheoreticalpointsofview. The purpose of this monograph is not only to review quantum dynamical behaviorsofelectronsandnucleiofmolecularsystemsbutalsotointroduceexper- imental and theoretical methods for graduate students and/or beginners who have becomeinterestedinthisfield.Gapsbetweenthelevelsofbeginnersandresearchers havebecomelargerandlarger.Theauthorshopethatthismonographwillcontribute tobridgingthosegaps. Thismonographisorganizedintotwopartsandeightchapters;inthefirstpart, i.e.,Chap.1,fundamentalconceptsandprinciplesofcoherentdynamicsofelectrons v April7,2011 16:3 9.75inx6.5in b1101-fm ElectronicandNuclearDynamicsinMolecularSystems vi ElectronicandNuclearDynamicsinMolecularSystems and nuclei are described. These include wavepackets, adiabatic and nonadiabatic treatments, quantum optimal control, and multiphoton vs. tunneling ionization. In Chap.2,theexperimentalapparatusandmethodsformeasuringultrafastdynamics arepresented. In the second part, Chaps. 3 to 8, the results of experimental and theoretical studiesonelectronicandnuclearcoherentmotionsarepresented.Methodsfortime evolutionofelectronicandnuclearwavepacketscreatedbylaserpulsesaredescribed in Chap. 3. Typical numerical methods are given for solving the time-dependent Schrödingerequationofmolecularsystems.Here,thesemi-classicaltreatmentfor interactionsbetweenmoleculesandlasersisadoptedonthebasisoftheassumption thatquantumbehaviorssuchasspontaneousemissioncanbeneglected.Chapter4 outlines experimental setups and techniques for molecular alignment and orien- tation with laser technologies first. Then, various applications with a sample of alignedororientedmoleculesarereviewedtoprovetheirusefulness.Alignmentand orientation of molecules are essential processes for the studies of selective chem- istry under the conditions of vapor and condensed phases. In Chap. 5 theoretical treatments of electronic and nuclear dynamics in intense laser fields are shown. The correlated motion between the electronic and nuclei in a hydrogen molecular ionispresented.Interelectroniccorrelationsinthesimplesttwo-electronsystem,a hydrogenmolecule,areshown.Nonlineardynamics,Coulombexplosion,multiple ionizationanddecompositionoffullerenesinducedbyintenselaserpulsesarepre- sented from both experimental and theoretical points of view. Chapter 6 presents theoreticalstudiesonπ-electronrotationsofmolecules,Mgporphyrin,benzeneand ansa (planar chirality) chiral aromatic molecules, which are induced by ultrashort laser pulses. Chapter 7 shows real-time observation of stilbene cis-trans coherent isomerizationincondensedphases,whichisoneofthetypicalexamplesofphoto- chemicalreactions.Resultsofexperimentsonlasercontrolofretinalisomerization in rhodopsin are also shown. Chapter 8 presents applications of quantum control theorytomolecularchirality.Severalmethodssuchaspump-dumpcontrol,stimu- latedRamanadiabaticpassage,andquantumcontrolmethodsareapplied.Molecular chiralityisanessentialpropertyofbiomolecules.Thedevelopmentofnewmethods foridentificationandtransformationofchiralityisachallengingsubject. Wewouldliketothankourcolleagues,co-researchesandfriends:Profs.S.Aono, A.D.Bandrauk,S.L.Chin,P.B.Corkum,W.Domcke,L.González,I.V.Hertel,M. Kanno, S. Koseki, Z. Lan , F. H. M. Faisal, G. Gerber, S. H. Lin, R. J. Gordon, M. Hayashi, K. Hoki, T. Kato, N. Kobayashi, H. Kono, D. Kröener, Y. Manz, D. Mathur, K. Miyazaki, H. Nakamura, Y. Nomura, T. Nguyen-Dan, Y. Ohta, Y. Ohtsuki, R. Sahnoun, N. Shimakura, M. Sugawara, M. Tanaka, K. Terarishi, H. Umeda, K.Yamanouchi, K.Yamashita andY.Yan, Drs. I. Kawata, K. Nakai, Y.SatoandM.Yamaki,Ms.M.Abe,andK.Haruyama,A.Kita,M.Muramatsuand April7,2011 16:3 9.75inx6.5in b1101-fm ElectronicandNuclearDynamicsinMolecularSystems Preface vii K. Nakagami.YF would like to express special thanks to Prof. H. Kono and Prof. Y.Ohtsukiwhowerepartnersincarryingouthard-timeresearchprojectsatTohoku University,SendaiJapan.ProfessorH.Konohasmadeasubstantialcontributionto thedevelopmentofelectronicquantumdynamicswithDr.I.Kawata. PartsofthismonographwerecompletedwhileYFwasaresearchfellowatthe InstituteofAtomicandMolecularScienceswithsupportbyAcademicSimicaand National Science Council of Taiwan, to which Prof. Lin kindly invited him. YF appreciatesthewarmhospitalityofM.Hayashi,ProfessorofCenterforCondensed MatterPhysics. The staff at World Scientific Publishing were exceedingly helpful, including EditorsV.K.SanjeedandC.Xingliang. ThismonographisdedicatedtothelateProfessorsT.NakajimaandT.Abe,who providedsupportandencouragementattheinitialstagesofYF’sresearchprojects. The authors acknowledge financial support from JSPS (Japan Society for the PromotionofScience)andMEXT(MinistryofEducation,Culture,Sports,Science, andTechnology). April7,2011 16:3 9.75inx6.5in b1101-fm ElectronicandNuclearDynamicsinMolecularSystems Contents Preface v 1. BasicConceptsandFundamentalDynamics 1 1. Wavepacket . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. AdiabaticandNonadiabaticTreatments . . . . . . . . . . . . . . 3 3. QuantumControlbyPulseShaping . . . . . . . . . . . . . . . . 4 4. Multiphotonvs.TunnelingIonization . . . . . . . . . . . . . . . 6 5. High-OrderHarmonicGeneration(HHG) . . . . . . . . . . . . . 7 6. RescatteringofElectrons . . . . . . . . . . . . . . . . . . . . . . 10 7. Above-ThresholdIonization(ATI) . . . . . . . . . . . . . . . . . 11 8. Above-ThresholdDissociation(ATD) . . . . . . . . . . . . . . . 12 9. CoulombExplosion . . . . . . . . . . . . . . . . . . . . . . . . . 13 10. AlignmentandOrientation . . . . . . . . . . . . . . . . . . . . . 15 11. MolecularChirality . . . . . . . . . . . . . . . . . . . . . . . . . 17 12. MolecularADKTheoryforTunnelingIonizationRate. . . . . . . 19 13. Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 2. ExperimentalSetupsandMethods 25 1. Laser-InducedCoulombExplosionImaging . . . . . . . . . . . . 25 2. High-OrderHarmonicGeneration . . . . . . . . . . . . . . . . . 26 3. MolecularOrientationandItsObservation . . . . . . . . . . . . . 28 3.1 1Dmolecularorientation . . . . . . . . . . . . . . . . . . 28 3.2 3Dmolecularorientation . . . . . . . . . . . . . . . . . . 30 3. TheoreticalTreatmentsofWavepackets 35 1. GenerationofWavepacketandItsPropagation . . . . . . . . . . . 35 2. NumericalMethodsforWavepacketPropagation . . . . . . . . . 39 ix